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Finding the Third Proportional to 6,424.31 and 13,213.13

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Solution

The third proportional to 6,424.31 and 13,213.13 is: 27,175.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.31 : 13,213.13 = 13,213.13 : x
  2. Step 2: Convert to fraction form
    6,424.31/13,213.13 = 13,213.13/x
  3. Step 3: Cross multiply
    6,424.31x = 13,213.13 × 13,213.13
  4. Step 4: Simplify right side
    6,424.31x = 174,586,672.27
  5. Step 5: Solve for x
    x = 174,586,672.27/6,424.31
  6. Step 6: Final answer
    x = 27,175.93

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.